List questions from sobolev-spaces

Published on 01 Apr 2026 - 21:53

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Relation between Besov and Sobolev spaces (Littlewood-Paley-theory)

Published on 01 Dec 2015 - 22:15

72

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Dense subset of Nikol'skii spaces?

Published on 02 Dec 2015 - 12:27

1.4k

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$W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?

Published on 02 Dec 2015 - 23:00

735

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Unique weak solution to Helmholtz equation on a square

Published on 28 Mar 2026 - 9:54

191

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Variational formulation curl-div equation

Published on 04 Apr 2026 - 0:54

298

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Inequality for Sobolev fractional spaces

Published on 28 Mar 2026 - 9:43

33

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Is there $f\in H^1(\mathbb T^n)$ such that $ \textrm{div}(f)=\sum_{j=1}^n \partial_j f=1$?

Published on 04 Dec 2015 - 15:43

1.2k

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Periodic Poincaré Inequality?

Published on 01 Apr 2026 - 20:46

139

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compact embedding in sobolev spaces ($W^{1,1}(\mathbb{R}^n)$ in $L^1(\mathbb{R}^n)$

Published on 05 Dec 2015 - 16:40

77

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Taking $\inf$ for sobolev space in different order

Published on 05 Dec 2015 - 18:42

1.5k

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Poincaré constant for a ball (circle)

Published on 28 Mar 2026 - 9:44

1.2k

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Critical Homogeneous Sobolev Embedding

Published on 11 Apr 2026 - 14:24

813

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Inequalities for $L^2$ norms of gradients of functions that weakly converge in a Sobolev space

Published on 07 Dec 2015 - 17:52

454

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A $W^{1,p}$ function that is unbounded on any open subset of $B_1(0)$.

Published on 07 Dec 2015 - 18:39

List Question

Variational formulation of elliptic mixed boundary value problem

Relation between Besov and Sobolev spaces (Littlewood-Paley-theory)

Dense subset of Nikol'skii spaces?

$W^{1,1}(\mathbb{R}^n)$ is not compactly embedded in $L^1(\mathbb{R}^n)$?

Unique weak solution to Helmholtz equation on a square

Variational formulation curl-div equation

Inequality for Sobolev fractional spaces

Is there $f\in H^1(\mathbb T^n)$ such that $ \textrm{div}(f)=\sum_{j=1}^n \partial_j f=1$?

Periodic Poincaré Inequality?

compact embedding in sobolev spaces ($W^{1,1}(\mathbb{R}^n)$ in $L^1(\mathbb{R}^n)$

Taking $\inf$ for sobolev space in different order

Poincaré constant for a ball (circle)

Critical Homogeneous Sobolev Embedding

Inequalities for $L^2$ norms of gradients of functions that weakly converge in a Sobolev space

A $W^{1,p}$ function that is unbounded on any open subset of $B_1(0)$.

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